How do you simplify # sqrt(3x) * sqrt3#?

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Answer 1 · 2016-03-09T21:03:17

#3*sqrtx#

Note that radicals can be split up as follows:

#sqrt(ab)=sqrta*sqrtb#

So,

#sqrt(3x)=sqrt3*sqrtx#

This gives us a simplified expression of

#=sqrt3*sqrtx * sqrt3#

Now, simplify the two #sqrt3# terms using the rule:

#sqrta*sqrta=a#

So, #sqrt3*sqrt3=3# and the expression equals

#=3*sqrtx#